6766706752 has 56 divisors (see below), whose sum is σ = 14472656856. Its totient is φ = 3120488448.

The previous prime is 6766706717. The next prime is 6766706761. The reversal of 6766706752 is 2576076676.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 182358016 + 6584348736 = 13504^2 + 81144^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 6766706752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289478 + ... + 1294714.

It is an arithmetic number, because the mean of its divisors is an integer number (258440301).

Almost surely, 2^6766706752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6766706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236328428).

6766706752 is an abundant number, since it is smaller than the sum of its proper divisors (7705950104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6766706752 is a wasteful number, since it uses less digits than its factorization.

6766706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The square root of 6766706752 is about 82259.9948456113. The cubic root of 6766706752 is about 1891.4394893799.

The spelling of 6766706752 in words is "six billion, seven hundred sixty-six million, seven hundred six thousand, seven hundred fifty-two".